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20300746753225 = 52313228792
BaseRepresentation
bin1001001110110101000101…
…10011001000010011001001
32122212201202221112112020201
410213122202303020103021
510130101412132100400
6111102011224452201
74163452300161331
oct447324263102311
978781687475221
1020300746753225
116517553337064
12233a50701a061
13b43476a41353
145027c06280c1
15253107da006a
hex1276a2cc84c9

20300746753225 has 27 divisors (see below), whose sum is σ = 25262382311733. Its totient is φ = 16183087477440.

The previous prime is 20300746753211. The next prime is 20300746753241. The reversal of 20300746753225 is 52235764700302.

It is a happy number.

The square root of 20300746753225 is 4505635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11404581522489 + 8896165230736 = 3377067^2 + 2982644^2 .

It is not a de Polignac number, because 20300746753225 - 25 = 20300746753193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7051317336 + ... + 7051320214.

Almost surely, 220300746753225 is an apocalyptic number.

20300746753225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20300746753225 is the 4505635-th square number.

20300746753225 is the 2252818-th centered octagonal number.

It is an amenable number.

20300746753225 is a deficient number, since it is larger than the sum of its proper divisors (4961635558508).

20300746753225 is an frugal number, since it uses more digits than its factorization.

20300746753225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 46.

The spelling of 20300746753225 in words is "twenty trillion, three hundred billion, seven hundred forty-six million, seven hundred fifty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 313 1565 2879 7825 14395 71975 97969 489845 901127 2449225 4505635 8288641 22528175 41443205 207216025 282052751 1410263755 2594344633 7051318775 12971723165 64858615825 812029870129 4060149350645 20300746753225